This is a sample syllabus only. Ask your instructor for the official syllabus for your course.

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Functions, including their graphs, domain, range, inverse functions. Standard algebraic transformations of functions and the corresponding geometric transformations of their graphs. Exponential and logarithmic functions and equations; exponential growth and decay. Right-triangle trigonometry and applications. Trigonometric and inverse trigonometric functions and their graphs. Harmonic motion and sinusoids. Trigonometric identities and equations. The laws of sines and cosines.

MAT 153 meets for four hours of lecture per week.

MAT 009 or equivalent.

After completing MAT 153 the student should be able to

- obtain the domain and graph of linear, quadratic, exponential, logarithmic, trigonometric, and inverse trigonometric functions
- understand the Vertical and Horizontal Line Tests
- find the composition of two functions algebraically, and the inverse of a function, both algebraically and geometrically
- understand the effects on the graph of a function (e.g. translations and/or reflections) due to standard algebraic changes to the function
- use laws of exponents and logarithms and trigonometric identities
- simplify expressions involving exponential, logarithmic, and trigonometric functions
- solve exponential, logarithmic, and trigonometric equations
- prove trigonometric identities
- solve standard exponential growth and decay problems
- understand the correspondence between the symmetries of the trigonometric circle and the symmetries of the trigonometric functions
- use a graphic calculator to graph and evaluate exponential, logarithmic, and trigonometric functions
- solve triangles using the Laws of Sines and Cosines
- apply trigonometry to surveying, navigation, area, and angular speed problems and harmonic oscillations
- throughout, use standard mathematical notation and terminology and avoid nonsensical expressions and statements.

Students should be able to demonstrate through written assignments, tests, and/or oral presentations, that they have achieved the objectives of MAT 153.

Evaluations are based on homework, class participation, short tests and scheduled examinations covering students' understanding of topics covered in MAT 153.

*Precalculus: a Prelude to Calculus* (1st ed.), by Sheldon Axler. Wiley, 2009.

MAT 153 focuses on the following chapters in the text.

- 0. The Real Numbers
- 1. Functions and their Graphs
- 2. Linear, Quadratic, Polynomial, and Rational Functions
- 3. Exponentials, Logarithms, and e.
- 4. Trigonometric Functions
- 5. Trigonometric Algebra and Geometry.
- 6. Applications of Trigonometry

Students' grades are based on homework, class participation, short tests, and scheduled examinations covering students' understanding of the topics covered in MAT 153. The instructor determines the relative weights of these factors. Instructore are encouraged to allow the use of graphing calculators on tests and homework. Students may be allowed to use sheet of formulas (written by the student or provided by the instructor) during tests at the instructor's discretion.

Attendance policy is set by the instructor.

Due dates and policy regarding make-up work are set by the instructor.

The instructor sets all test dates except the date of the final exam. The final exam is given at the date and time announced in the Schedule of Classes.

The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

Revision history:

Prepared by F. Brulois. Revised 1/2/01 (F. Brulois), 7/6/01, 7/25/06, 2/8/13 (G. Jennings).